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RESOURCES:
- Books on Course Reserve
(Note: Browse QA 241-246 for Kenyon's collection of Number Theory
books)
Title: Unsolved Problems in Number Theory
Author: Richard K. Guy
Abstract: This book discusses hundreds of open questions in
number theory, organized into 185 different topics. An extensive and
up-to-date collection of references follows each problem. Every student
in the class should make use of this resource!!!
Title: The Queen of Mathematics: A Historically Motivated
Guide to Number Theory
Author: Jay R. Goldman
Abstract: This book examines number theory as it developed
from the 17th through 19th centuries, leading to an understanding
of today’s research problems on the basis of their historical
evolution.
Title: Elementary Number Theory
Author: Kenneth Rosen
Abstract: This book provides a careful and rigorous development
of the basics of number theory. It was also your professor’s
text when she took number theory as an undergraduate!
Title: Handbook of Writing for the Mathematical Sciences
(in Kenyon's reference collection)
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Journals
NUMBER THEORY JOURNALS (available
online)
Journal
of Number Theory (1993 - present)
The Journal of Number Theory features selected research
articles that represent the broad spectrum of interest in contemporary
number theory and allied areas. A valuable resource for mathematicians,
the journal provides an international forum for the publication
of original research in this field.
Mathematics
of Computation (1960 - 2003)
(also available in print at Kenyon with incomplete holdings from
1943 -1979)
This journal, begun in 1943 as Mathematical Tables and Other
Aids to Computation, publishes original articles on all aspects
of numerical mathematics, book reviews, mathematical tables, and
technical notes. It is devoted to advances in numerical analysis,
the application of computational methods, high speed calculating,
and other aids to computation.
INTEGERS: Electronic
Journal of Combinatorial Number Theory (2000 - present)
INTEGERS is a refereed electronic journal devoted to research
in the area of combinatorial number theory. Topics covered by
the journal include additive number theory, multiplicative number
theory, sequences and sets, extremal combinatorics, Ramsey theory,
elementary number theory, classical combinatorial problems, hypergraphs,
and probabilistic number theory.
OTHER RELEVANT JOURNALS (those hyperlinked
are available online)
Elemente
der Mathematik (1997 - 2004)
EL publishes survey articles about important developments
in the field of mathematics. The articles in this journal tend
to be very accessible.
The American
Mathematical Monthly (1894 - 2005 available online; more
recent volumes available in print at Kenyon)
(also available in print at Kenyon from 1916 - present)
The official journal of the Mathematical Association of America.
Mathematics
Magazine (1934 - 2005 available online; also available
in print at Kenyon from 1948 - present)
Like the Monthly, MM is put out by the MAA. Both
journals are geared to the general mathematical audience, and
they have a high standard of exposition. This is a great resource
for undergraduates!
Journal of Recreational Mathematics (1987 - present available
in print at Kenyon)
A journal devoted to the lighter side of mathematics, featuring
games, puzzles, and articles that challenge the mental agility
of everyone who enjoys the intricacies of mathematics.
A
SELECTED LIST OF MATH JOURNALS AVAILABLE AT KENYON
INTERNET RESOURCES (General)
Eric Weisstein's World
of Mathematics (An online mathematics encyclopedia)
MacTutor
History of Mathematics Archive
INTERNET RESOURCES (Number Theory)
An
Overview of Number Theory
Mersenne
Primes: History, Theorems and Lists
Prime
Numbers: Some Unsolved Problems
Unsolved Problems in Number
Theory
FINDING AND RETRIEVING:
-
Library Catalogs (primarily
for books)
Use CONSORT
to identify books at Kenyon or another CONSORT partner library (College
of Wooster, Denison University and Ohio Wesleyan). If an item you
want to borrow is owned at Kenyon, check the floorplans to find the
exact location. If an item is owned by a CONSORT partner, or an OhioLINK
partner, request the item online. Guide
to requesting items owned by CONSORT or OhioLINK partner.
-
Online Databases (primarily for journal
articles)
The following databases are collections of citations, some abstracts,
and some full-text articles in scholarly literature. For searching
tips, read the About and Help screens in each database or contact
a librarian.
MathSciNet
(1940 - present)
MathSciNet is the web based version of Mathematical Reviews,
the primary index of mathematical literature, covering literature
from 1940 - present. Also included is coverage of Current Mathematical
Publications which is a subject index of recent and forthcoming
publications.
Science
Citation Index Expanded (1980 - present)
The ISI
Citation Databases provide web access to the Science Citation
Index Expanded from 1980 - present. It indexes 5,300 major journals
across 164 scientific disciplines. Both general subject and cited
reference searching are possible.
JSTOR
JSTOR is a database of the back issues of core journals in
the humanities, social sciences and sciences. The gap between the
most recently published issue of any journal and the date of the most
recent issue available in JSTOR is from 2 to 5 years. There are now
12 mathematics titles accessible FULL-TEXT in the JSTOR collection.
Electronic Journal Center
(EJC)
The Electronic Journal Center (EJC) is OhioLINK's collection
of FULL-TEXT research journals. Unlike JSTOR, it contains more
up-to-date issues.
-
ILL (for materials not accessible at Kenyon)
When you find citations to articles in journals that are not owned
by Kenyon College nor available online, you must make an Inter Library
Loan (ILL) request. By placing an ILL request, you are requesting
that another library make a photocopy of the article and mail it to
Kenyon. It may take 7-10 days for an article to arrive. You will be
notified by E-mail when you may pick up the article at the library
Circulation Desk. Request
an article.
WRITING AND CITING:
A suggested style for references to the literature is citation by
number in brackets in the text as [1], [1,2], [1, Theorem 1.5] and
listing in alphabetical order at the end.
The precise format in which references are presented varies among
publishers and somtimes among different journals from the same publisher.
For the purposes of this class, please use the following examples
as guidelines.
Books:
A. G. Ramm, Multidimensional Inverse Scattering Problems,
Longman/Wiley, New York, 1992.
W. Rudin, Real and Complex Analysis, 3rd ed., McGraw-Hill,
New York, 1987.
Chapter/Section/Volume of Books:
H. Halberstam, D. R. Heath-Brown & H.-E. Richert, On almost-primes
in short intervals, in Recent Progress in Analytic Number Theory,
Vol. 1, Academic Press, 1981, 69-101; MR 83a:10075.
G. Grunbaum and G.C. Shephard, Some problems on plane tilings,
in Mathematical Recreations, D.A. Klarner, ed. Dover, Toronto,
1998, pp. 167-196.
Journal Articles:
M.H. Lee, Mixed cusp forms and holomorphic forms on elliptic varieties,
Pacific J. Math., 132(1988) 363-370.
P. Stevenhagen, Divisibility by 2-powers of certain quadratic
class numbers, J. Number Theory, 43(1993) 1-19.
Papers from Conferences:
P. B. Borwein, On the irrationality of certain series, Math. Proc.
Cambridge Philos. Soc., 112(1992) 141-146; MR 93g:11074
J.S. Devitt, R.K. Guy & J.L. Selfridge, Third report on aliquot
sequences, Congr. Numer. XVIII, Proc. 6th Manitoba Conf. Numer.
Math., 1976, 177-204; MR 80d:10001.
On-line Publication:
K. Stephenson, Circle packing bibliography. http://http://www.math.utk.edu/~kens,
1999
Thesis:
J.S. Devitt, Aliquot Sequences, M.S. thesis, The Univ. of Calgary,
1976.
GETTING HELP:
Karen Gordon (gordonk@kenyon.edu)
serves as the liaison for library needs for the mathematics and
economics.
Feel free to stop by, call (740-427-5691), or E-mail (InfoDesk@kenyon.edu)
the librarian on duty at the Information Desk. Hours.
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